Finding the Third Proportional to 105,912 and 156,404

Step by Step Solution

1. Step 1: Write the proportion equation
   105,912 : 156,404 = 156,404 : x
2. Step 2: Convert to fraction form
   105,912/156,404 = 156,404/x
3. Step 3: Cross multiply
   105,912x = 156,404 × 156,404
4. Step 4: Simplify right side
   105,912x = 24,462,211,216
5. Step 5: Solve for x
   x = 24,462,211,216/105,912
6. Step 6: Final answer
   x = 230,967.32